Switching sensitive and insensitive responses in a piecewise smooth rubbing rotor system

Abstract eng:
In this work the response characteristics of a two-degree-of-freedom piecewise smooth nonlinear isotropic rubbing rotor system, which consists of a linear subsystem and a nonlinear subsystem controlled by a switching surface that gives the rubbing condition, are investigated. It is found that the parameters of the piecewise smooth system can be classified into the switching sensitive and insensitive regions. We show that the responses of the full non-smooth system in the switching insensitive regions can be well determined through the analysis of the responses both the linear and the nonlinear subsystems by the theory of nonlinear dynamics. In the switching sensitive regions, some responses of the full non-smooth system, although unpredictable theoretically, can still be explained from the response characteristics of the subsystems, and some other responses cannot be well understood from our current knowledge.

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